You can also make it clear, & this is how I feel about all my friends & loved ones who don't play regularly with me: if ever you see a game you'd like to try, something intrigues you, or you just want to join us one night, you are always deeply welcome. That's a permanent open invitation.
You'll always be welcome as a beginner, you won't be expected to know rules or be some tactical genius. But also we can hang out in other ways, because the main thing I want to do is hang out with you, in ways we both enjoy, because you are great.
I'm not saying that attitude will magically overcome anyone's objections or misgivings around playing games, but that's because the point isn't to override their preference, it's to make them feel heard & respected. Which builds trust & safety, which happen to be good foundations for most activities
As someone with a PDA profile who resonates a lot with experiences autistic people share about hating & fearing anything that feels like a demand, I feel like the worst thing you can do is try to box someone into a corner with counter-arguments & evidence. Give them space. Don't chase.